Properties

Label 441.2.bn.a.5.20
Level $441$
Weight $2$
Character 441.5
Analytic conductor $3.521$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 441 = 3^{2} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 441.bn (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.52140272914\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 5.20
Character \(\chi\) \(=\) 441.5
Dual form 441.2.bn.a.353.20

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.744514 + 0.593730i) q^{2} +(-1.04233 + 1.38331i) q^{3} +(-0.243256 + 1.06577i) q^{4} +(0.397639 + 0.271106i) q^{5} +(-0.0452820 - 1.64876i) q^{6} +(-2.38053 - 1.15459i) q^{7} +(-1.27802 - 2.65384i) q^{8} +(-0.827090 - 2.88373i) q^{9} +O(q^{10})\) \(q+(-0.744514 + 0.593730i) q^{2} +(-1.04233 + 1.38331i) q^{3} +(-0.243256 + 1.06577i) q^{4} +(0.397639 + 0.271106i) q^{5} +(-0.0452820 - 1.64876i) q^{6} +(-2.38053 - 1.15459i) q^{7} +(-1.27802 - 2.65384i) q^{8} +(-0.827090 - 2.88373i) q^{9} +(-0.457012 + 0.0342483i) q^{10} +(-0.227802 - 1.51137i) q^{11} +(-1.22074 - 1.44739i) q^{12} +(0.172566 + 1.14490i) q^{13} +(2.45785 - 0.553784i) q^{14} +(-0.789495 + 0.267476i) q^{15} +(0.557325 + 0.268393i) q^{16} +(1.74339 - 1.61763i) q^{17} +(2.32794 + 1.65591i) q^{18} +(-5.11573 - 2.95357i) q^{19} +(-0.385666 + 0.357846i) q^{20} +(4.07846 - 2.08954i) q^{21} +(1.06695 + 0.989982i) q^{22} +(0.309968 + 1.00489i) q^{23} +(5.00321 + 0.998282i) q^{24} +(-1.74209 - 4.43876i) q^{25} +(-0.808238 - 0.749935i) q^{26} +(4.85120 + 1.86169i) q^{27} +(1.80961 - 2.25625i) q^{28} +(6.27208 + 6.75969i) q^{29} +(0.428982 - 0.667887i) q^{30} +7.44428i q^{31} +(5.16910 - 1.17981i) q^{32} +(2.32814 + 1.26023i) q^{33} +(-0.337544 + 2.23946i) q^{34} +(-0.633576 - 1.10449i) q^{35} +(3.27461 - 0.180005i) q^{36} +(-8.67490 - 2.67585i) q^{37} +(5.56235 - 0.838390i) q^{38} +(-1.76362 - 0.954652i) q^{39} +(0.211280 - 1.40175i) q^{40} +(0.620827 - 8.28436i) q^{41} +(-1.79584 + 3.97720i) q^{42} +(-0.683300 - 9.11801i) q^{43} +(1.66619 + 0.124864i) q^{44} +(0.452914 - 1.37091i) q^{45} +(-0.827409 - 0.564118i) q^{46} +(-6.24642 - 7.83276i) q^{47} +(-0.952188 + 0.491198i) q^{48} +(4.33384 + 5.49707i) q^{49} +(3.93244 + 2.27039i) q^{50} +(0.420493 + 4.09777i) q^{51} +(-1.26218 - 0.0945874i) q^{52} +(-3.06764 - 9.94504i) q^{53} +(-4.71712 + 1.49425i) q^{54} +(0.319158 - 0.662738i) q^{55} +(-0.0217283 + 7.79314i) q^{56} +(9.41798 - 3.99804i) q^{57} +(-8.68308 - 1.30876i) q^{58} +(3.49818 + 1.68464i) q^{59} +(-0.0930195 - 0.906489i) q^{60} +(1.61897 - 0.369519i) q^{61} +(-4.41989 - 5.54237i) q^{62} +(-1.36062 + 7.81976i) q^{63} +(-3.91934 + 4.91469i) q^{64} +(-0.241770 + 0.502040i) q^{65} +(-2.48156 + 0.444028i) q^{66} -9.68711 q^{67} +(1.29994 + 2.25157i) q^{68} +(-1.71316 - 0.618648i) q^{69} +(1.12747 + 0.446132i) q^{70} +(-7.81731 - 1.78425i) q^{71} +(-6.59594 + 5.88045i) q^{72} +(-0.768815 + 5.10075i) q^{73} +(8.04732 - 3.15834i) q^{74} +(7.95602 + 2.21682i) q^{75} +(4.39227 - 4.73374i) q^{76} +(-1.20272 + 3.86088i) q^{77} +(1.87984 - 0.336362i) q^{78} -13.6507 q^{79} +(0.148851 + 0.257818i) q^{80} +(-7.63184 + 4.77021i) q^{81} +(4.45646 + 6.53643i) q^{82} +(10.1814 + 1.53460i) q^{83} +(1.23487 + 4.85501i) q^{84} +(1.13179 - 0.170590i) q^{85} +(5.92236 + 6.38279i) q^{86} +(-15.8883 + 1.63038i) q^{87} +(-3.71980 + 2.53612i) q^{88} +(2.24016 + 5.70784i) q^{89} +(0.476753 + 1.28957i) q^{90} +(0.911090 - 2.92471i) q^{91} +(-1.14639 + 0.0859100i) q^{92} +(-10.2977 - 7.75941i) q^{93} +(9.30109 + 2.12291i) q^{94} +(-1.23348 - 2.56136i) q^{95} +(-3.75587 + 8.38021i) q^{96} +(-3.50028 + 2.02088i) q^{97} +(-6.49038 - 1.51951i) q^{98} +(-4.16997 + 1.90696i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648 q - 21 q^{2} - 11 q^{3} + 99 q^{4} - 18 q^{5} - 34 q^{6} - 5 q^{7} - 23 q^{9} + O(q^{10}) \) \( 648 q - 21 q^{2} - 11 q^{3} + 99 q^{4} - 18 q^{5} - 34 q^{6} - 5 q^{7} - 23 q^{9} - 22 q^{10} - 18 q^{11} - 72 q^{12} - 4 q^{13} + 66 q^{14} - 10 q^{15} - 105 q^{16} - 9 q^{17} - 27 q^{18} - 36 q^{19} - 27 q^{20} - 11 q^{21} - 9 q^{22} - 27 q^{23} - 8 q^{24} + 38 q^{25} + 6 q^{26} - 29 q^{27} - 26 q^{28} + 3 q^{29} - 16 q^{30} - 21 q^{32} - 11 q^{33} - 13 q^{34} + 28 q^{36} - 13 q^{37} - 90 q^{38} - 15 q^{39} - 31 q^{40} - 27 q^{41} - 4 q^{42} - 9 q^{43} + 51 q^{44} - 11 q^{45} - 108 q^{46} + 75 q^{47} - 15 q^{48} - 13 q^{49} - 45 q^{50} - 38 q^{51} + 64 q^{52} - 12 q^{53} - 41 q^{54} + 14 q^{55} + 3 q^{56} - 7 q^{57} - 90 q^{58} + 15 q^{59} - 69 q^{60} - 56 q^{61} + 66 q^{62} + 13 q^{63} + 64 q^{64} - 21 q^{65} - 204 q^{66} - 26 q^{67} + 3 q^{68} + 58 q^{69} - 22 q^{70} - 63 q^{71} - 18 q^{72} - 22 q^{73} - 12 q^{74} + 118 q^{75} - 63 q^{76} - 69 q^{77} - 147 q^{78} - 2 q^{79} - 45 q^{80} + 29 q^{81} - 28 q^{82} - 51 q^{83} - 31 q^{84} - 10 q^{85} - 72 q^{86} - 67 q^{87} + 4 q^{88} + 132 q^{89} + 58 q^{90} - 13 q^{91} - 15 q^{92} + 217 q^{93} - 7 q^{94} - 21 q^{95} - 44 q^{96} + 3 q^{97} + 21 q^{98} - 148 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).

\(n\) \(199\) \(344\)
\(\chi(n)\) \(e\left(\frac{29}{42}\right)\) \(e\left(\frac{5}{6}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.744514 + 0.593730i −0.526451 + 0.419831i −0.850316 0.526273i \(-0.823589\pi\)
0.323865 + 0.946103i \(0.395018\pi\)
\(3\) −1.04233 + 1.38331i −0.601790 + 0.798654i
\(4\) −0.243256 + 1.06577i −0.121628 + 0.532887i
\(5\) 0.397639 + 0.271106i 0.177830 + 0.121242i 0.648964 0.760820i \(-0.275203\pi\)
−0.471134 + 0.882062i \(0.656155\pi\)
\(6\) −0.0452820 1.64876i −0.0184863 0.673102i
\(7\) −2.38053 1.15459i −0.899756 0.436394i
\(8\) −1.27802 2.65384i −0.451849 0.938275i
\(9\) −0.827090 2.88373i −0.275697 0.961245i
\(10\) −0.457012 + 0.0342483i −0.144520 + 0.0108303i
\(11\) −0.227802 1.51137i −0.0686850 0.455695i −0.996565 0.0828158i \(-0.973609\pi\)
0.927880 0.372879i \(-0.121629\pi\)
\(12\) −1.22074 1.44739i −0.352398 0.417825i
\(13\) 0.172566 + 1.14490i 0.0478611 + 0.317538i 0.999932 + 0.0116602i \(0.00371164\pi\)
−0.952071 + 0.305877i \(0.901050\pi\)
\(14\) 2.45785 0.553784i 0.656889 0.148005i
\(15\) −0.789495 + 0.267476i −0.203847 + 0.0690620i
\(16\) 0.557325 + 0.268393i 0.139331 + 0.0670984i
\(17\) 1.74339 1.61763i 0.422835 0.392334i −0.439853 0.898070i \(-0.644969\pi\)
0.862688 + 0.505736i \(0.168779\pi\)
\(18\) 2.32794 + 1.65591i 0.548701 + 0.390302i
\(19\) −5.11573 2.95357i −1.17363 0.677595i −0.219096 0.975703i \(-0.570311\pi\)
−0.954532 + 0.298109i \(0.903644\pi\)
\(20\) −0.385666 + 0.357846i −0.0862375 + 0.0800167i
\(21\) 4.07846 2.08954i 0.889992 0.455976i
\(22\) 1.06695 + 0.989982i 0.227474 + 0.211065i
\(23\) 0.309968 + 1.00489i 0.0646327 + 0.209534i 0.982129 0.188211i \(-0.0602689\pi\)
−0.917496 + 0.397745i \(0.869793\pi\)
\(24\) 5.00321 + 0.998282i 1.02128 + 0.203774i
\(25\) −1.74209 4.43876i −0.348417 0.887753i
\(26\) −0.808238 0.749935i −0.158508 0.147074i
\(27\) 4.85120 + 1.86169i 0.933614 + 0.358282i
\(28\) 1.80961 2.25625i 0.341984 0.426391i
\(29\) 6.27208 + 6.75969i 1.16470 + 1.25524i 0.961104 + 0.276188i \(0.0890711\pi\)
0.203592 + 0.979056i \(0.434738\pi\)
\(30\) 0.428982 0.667887i 0.0783210 0.121939i
\(31\) 7.44428i 1.33703i 0.743698 + 0.668516i \(0.233070\pi\)
−0.743698 + 0.668516i \(0.766930\pi\)
\(32\) 5.16910 1.17981i 0.913776 0.208563i
\(33\) 2.32814 + 1.26023i 0.405277 + 0.219377i
\(34\) −0.337544 + 2.23946i −0.0578883 + 0.384064i
\(35\) −0.633576 1.10449i −0.107094 0.186692i
\(36\) 3.27461 0.180005i 0.545768 0.0300009i
\(37\) −8.67490 2.67585i −1.42614 0.439907i −0.516855 0.856073i \(-0.672897\pi\)
−0.909289 + 0.416166i \(0.863374\pi\)
\(38\) 5.56235 0.838390i 0.902333 0.136005i
\(39\) −1.76362 0.954652i −0.282405 0.152867i
\(40\) 0.211280 1.40175i 0.0334063 0.221636i
\(41\) 0.620827 8.28436i 0.0969569 1.29380i −0.710426 0.703772i \(-0.751498\pi\)
0.807383 0.590028i \(-0.200883\pi\)
\(42\) −1.79584 + 3.97720i −0.277105 + 0.613695i
\(43\) −0.683300 9.11801i −0.104202 1.39048i −0.766982 0.641669i \(-0.778242\pi\)
0.662779 0.748815i \(-0.269377\pi\)
\(44\) 1.66619 + 0.124864i 0.251188 + 0.0188239i
\(45\) 0.452914 1.37091i 0.0675164 0.204364i
\(46\) −0.827409 0.564118i −0.121995 0.0831747i
\(47\) −6.24642 7.83276i −0.911134 1.14253i −0.989345 0.145589i \(-0.953492\pi\)
0.0782114 0.996937i \(-0.475079\pi\)
\(48\) −0.952188 + 0.491198i −0.137437 + 0.0708983i
\(49\) 4.33384 + 5.49707i 0.619120 + 0.785296i
\(50\) 3.93244 + 2.27039i 0.556130 + 0.321082i
\(51\) 0.420493 + 4.09777i 0.0588808 + 0.573802i
\(52\) −1.26218 0.0945874i −0.175033 0.0131169i
\(53\) −3.06764 9.94504i −0.421372 1.36606i −0.878962 0.476892i \(-0.841763\pi\)
0.457589 0.889164i \(-0.348713\pi\)
\(54\) −4.71712 + 1.49425i −0.641919 + 0.203342i
\(55\) 0.319158 0.662738i 0.0430352 0.0893636i
\(56\) −0.0217283 + 7.79314i −0.00290357 + 1.04140i
\(57\) 9.41798 3.99804i 1.24744 0.529553i
\(58\) −8.68308 1.30876i −1.14014 0.171849i
\(59\) 3.49818 + 1.68464i 0.455424 + 0.219321i 0.647509 0.762057i \(-0.275811\pi\)
−0.192085 + 0.981378i \(0.561525\pi\)
\(60\) −0.0930195 0.906489i −0.0120088 0.117027i
\(61\) 1.61897 0.369519i 0.207288 0.0473121i −0.117616 0.993059i \(-0.537525\pi\)
0.324904 + 0.945747i \(0.394668\pi\)
\(62\) −4.41989 5.54237i −0.561327 0.703882i
\(63\) −1.36062 + 7.81976i −0.171422 + 0.985198i
\(64\) −3.91934 + 4.91469i −0.489917 + 0.614336i
\(65\) −0.241770 + 0.502040i −0.0299878 + 0.0622704i
\(66\) −2.48156 + 0.444028i −0.305460 + 0.0546561i
\(67\) −9.68711 −1.18347 −0.591734 0.806133i \(-0.701557\pi\)
−0.591734 + 0.806133i \(0.701557\pi\)
\(68\) 1.29994 + 2.25157i 0.157641 + 0.273042i
\(69\) −1.71316 0.618648i −0.206241 0.0744765i
\(70\) 1.12747 + 0.446132i 0.134759 + 0.0533230i
\(71\) −7.81731 1.78425i −0.927744 0.211751i −0.268153 0.963376i \(-0.586413\pi\)
−0.659591 + 0.751625i \(0.729270\pi\)
\(72\) −6.59594 + 5.88045i −0.777339 + 0.693017i
\(73\) −0.768815 + 5.10075i −0.0899830 + 0.596998i 0.897709 + 0.440588i \(0.145230\pi\)
−0.987692 + 0.156410i \(0.950008\pi\)
\(74\) 8.04732 3.15834i 0.935481 0.367149i
\(75\) 7.95602 + 2.21682i 0.918682 + 0.255976i
\(76\) 4.39227 4.73374i 0.503828 0.542997i
\(77\) −1.20272 + 3.86088i −0.137063 + 0.439988i
\(78\) 1.87984 0.336362i 0.212850 0.0380855i
\(79\) −13.6507 −1.53583 −0.767914 0.640553i \(-0.778705\pi\)
−0.767914 + 0.640553i \(0.778705\pi\)
\(80\) 0.148851 + 0.257818i 0.0166421 + 0.0288249i
\(81\) −7.63184 + 4.77021i −0.847983 + 0.530024i
\(82\) 4.45646 + 6.53643i 0.492134 + 0.721827i
\(83\) 10.1814 + 1.53460i 1.11756 + 0.168444i 0.681742 0.731593i \(-0.261223\pi\)
0.435814 + 0.900037i \(0.356461\pi\)
\(84\) 1.23487 + 4.85501i 0.134736 + 0.529725i
\(85\) 1.13179 0.170590i 0.122760 0.0185031i
\(86\) 5.92236 + 6.38279i 0.638625 + 0.688274i
\(87\) −15.8883 + 1.63038i −1.70341 + 0.174795i
\(88\) −3.71980 + 2.53612i −0.396532 + 0.270351i
\(89\) 2.24016 + 5.70784i 0.237457 + 0.605030i 0.999075 0.0429956i \(-0.0136901\pi\)
−0.761618 + 0.648026i \(0.775595\pi\)
\(90\) 0.476753 + 1.28957i 0.0502541 + 0.135933i
\(91\) 0.911090 2.92471i 0.0955082 0.306592i
\(92\) −1.14639 + 0.0859100i −0.119519 + 0.00895673i
\(93\) −10.2977 7.75941i −1.06783 0.804613i
\(94\) 9.30109 + 2.12291i 0.959335 + 0.218962i
\(95\) −1.23348 2.56136i −0.126553 0.262790i
\(96\) −3.75587 + 8.38021i −0.383331 + 0.855302i
\(97\) −3.50028 + 2.02088i −0.355399 + 0.205190i −0.667061 0.745003i \(-0.732448\pi\)
0.311662 + 0.950193i \(0.399114\pi\)
\(98\) −6.49038 1.51951i −0.655628 0.153494i
\(99\) −4.16997 + 1.90696i −0.419098 + 0.191657i
\(100\) 5.15450 0.776915i 0.515450 0.0776915i
\(101\) −0.345658 + 4.61248i −0.0343942 + 0.458959i 0.953243 + 0.302204i \(0.0977224\pi\)
−0.987638 + 0.156755i \(0.949897\pi\)
\(102\) −2.74603 2.80118i −0.271897 0.277359i
\(103\) −3.55604 + 5.21575i −0.350387 + 0.513923i −0.960459 0.278423i \(-0.910188\pi\)
0.610072 + 0.792346i \(0.291141\pi\)
\(104\) 2.81784 1.92117i 0.276312 0.188386i
\(105\) 2.18824 + 0.274809i 0.213551 + 0.0268186i
\(106\) 8.18857 + 5.58287i 0.795344 + 0.542256i
\(107\) −1.07105 + 0.420357i −0.103543 + 0.0406375i −0.416547 0.909114i \(-0.636760\pi\)
0.313004 + 0.949752i \(0.398665\pi\)
\(108\) −3.16422 + 4.71742i −0.304477 + 0.453934i
\(109\) 3.84635 9.80034i 0.368414 0.938703i −0.619681 0.784854i \(-0.712738\pi\)
0.988094 0.153849i \(-0.0491668\pi\)
\(110\) 0.155870 + 0.682911i 0.0148616 + 0.0651130i
\(111\) 12.7436 9.21094i 1.20957 0.874264i
\(112\) −1.01684 1.28240i −0.0960827 0.121175i
\(113\) −11.2721 + 4.42397i −1.06039 + 0.416172i −0.830484 0.557042i \(-0.811936\pi\)
−0.229904 + 0.973213i \(0.573841\pi\)
\(114\) −4.63806 + 8.56833i −0.434394 + 0.802498i
\(115\) −0.149176 + 0.483618i −0.0139108 + 0.0450976i
\(116\) −8.73003 + 5.04029i −0.810563 + 0.467979i
\(117\) 3.15885 1.44457i 0.292036 0.133550i
\(118\) −3.60466 + 0.822741i −0.331836 + 0.0757395i
\(119\) −6.01791 + 1.83792i −0.551661 + 0.168482i
\(120\) 1.71883 + 1.75336i 0.156907 + 0.160059i
\(121\) 8.27896 2.55372i 0.752633 0.232156i
\(122\) −0.985950 + 1.23634i −0.0892637 + 0.111933i
\(123\) 10.8127 + 9.49384i 0.974950 + 0.856031i
\(124\) −7.93393 1.81087i −0.712488 0.162621i
\(125\) 1.04611 4.58331i 0.0935669 0.409943i
\(126\) −3.62983 6.62977i −0.323371 0.590626i
\(127\) −0.966722 4.23549i −0.0857827 0.375839i 0.913754 0.406267i \(-0.133170\pi\)
−0.999537 + 0.0304287i \(0.990313\pi\)
\(128\) 4.61797i 0.408175i
\(129\) 13.3253 + 8.55877i 1.17322 + 0.753558i
\(130\) −0.118075 0.517322i −0.0103559 0.0453721i
\(131\) −0.818537 10.9226i −0.0715159 0.954313i −0.911393 0.411537i \(-0.864992\pi\)
0.839877 0.542776i \(-0.182627\pi\)
\(132\) −1.90945 + 2.17471i −0.166196 + 0.189284i
\(133\) 8.76798 + 12.9376i 0.760280 + 1.12183i
\(134\) 7.21219 5.75153i 0.623038 0.496856i
\(135\) 1.42431 + 2.05547i 0.122585 + 0.176906i
\(136\) −6.52105 2.55932i −0.559175 0.219460i
\(137\) −10.9617 16.0779i −0.936523 1.37363i −0.927563 0.373668i \(-0.878100\pi\)
−0.00896064 0.999960i \(-0.502852\pi\)
\(138\) 1.64278 0.556565i 0.139843 0.0473780i
\(139\) −9.18894 0.688616i −0.779396 0.0584076i −0.320910 0.947110i \(-0.603989\pi\)
−0.458485 + 0.888702i \(0.651608\pi\)
\(140\) 1.33125 0.406576i 0.112512 0.0343620i
\(141\) 17.3460 0.476395i 1.46079 0.0401197i
\(142\) 6.87946 3.31297i 0.577311 0.278019i
\(143\) 1.69105 0.521621i 0.141413 0.0436201i
\(144\) 0.313018 1.82916i 0.0260848 0.152430i
\(145\) 0.661432 + 4.38832i 0.0549290 + 0.364430i
\(146\) −2.45608 4.25405i −0.203266 0.352068i
\(147\) −12.1215 + 0.265274i −0.999761 + 0.0218794i
\(148\) 4.96208 8.59457i 0.407880 0.706469i
\(149\) 0.247648 + 0.0971946i 0.0202881 + 0.00796249i 0.375463 0.926837i \(-0.377484\pi\)
−0.355175 + 0.934800i \(0.615579\pi\)
\(150\) −7.23956 + 3.07327i −0.591107 + 0.250932i
\(151\) −7.11182 6.59880i −0.578752 0.537003i 0.335558 0.942020i \(-0.391075\pi\)
−0.914309 + 0.405017i \(0.867266\pi\)
\(152\) −1.30028 + 17.3511i −0.105467 + 1.40736i
\(153\) −6.10677 3.68956i −0.493703 0.298283i
\(154\) −1.39688 3.58857i −0.112563 0.289175i
\(155\) −2.01819 + 2.96014i −0.162105 + 0.237764i
\(156\) 1.44645 1.64740i 0.115809 0.131897i
\(157\) 5.64836 11.7289i 0.450788 0.936071i −0.544468 0.838781i \(-0.683269\pi\)
0.995256 0.0972892i \(-0.0310172\pi\)
\(158\) 10.1632 8.10485i 0.808538 0.644787i
\(159\) 16.9546 + 6.12253i 1.34458 + 0.485548i
\(160\) 2.37529 + 0.932232i 0.187783 + 0.0736994i
\(161\) 0.422350 2.75006i 0.0332858 0.216735i
\(162\) 2.84980 8.08275i 0.223901 0.635041i
\(163\) −4.43067 + 3.02078i −0.347037 + 0.236606i −0.724276 0.689510i \(-0.757826\pi\)
0.377239 + 0.926116i \(0.376873\pi\)
\(164\) 8.67824 + 2.67688i 0.677657 + 0.209029i
\(165\) 0.584103 + 1.13229i 0.0454724 + 0.0881484i
\(166\) −8.49135 + 4.90248i −0.659056 + 0.380506i
\(167\) −17.9734 5.54406i −1.39082 0.429012i −0.493254 0.869885i \(-0.664193\pi\)
−0.897570 + 0.440873i \(0.854669\pi\)
\(168\) −10.7577 8.15310i −0.829973 0.629025i
\(169\) 11.1414 3.43668i 0.857033 0.264360i
\(170\) −0.741351 + 0.798986i −0.0568590 + 0.0612794i
\(171\) −4.28613 + 17.1953i −0.327769 + 1.31495i
\(172\) 9.88396 + 1.48977i 0.753645 + 0.113594i
\(173\) −3.93079 + 17.2219i −0.298853 + 1.30936i 0.572985 + 0.819566i \(0.305785\pi\)
−0.871838 + 0.489794i \(0.837072\pi\)
\(174\) 10.8611 10.6472i 0.823376 0.807164i
\(175\) −0.977865 + 12.5780i −0.0739196 + 0.950808i
\(176\) 0.278682 0.903464i 0.0210064 0.0681012i
\(177\) −5.97664 + 3.08312i −0.449232 + 0.231741i
\(178\) −5.05675 2.91952i −0.379020 0.218827i
\(179\) −5.38387 5.80243i −0.402409 0.433694i 0.499040 0.866579i \(-0.333686\pi\)
−0.901449 + 0.432885i \(0.857496\pi\)
\(180\) 1.35091 + 0.816187i 0.100691 + 0.0608350i
\(181\) 18.4397 + 14.7052i 1.37062 + 1.09303i 0.985410 + 0.170198i \(0.0544408\pi\)
0.385205 + 0.922831i \(0.374131\pi\)
\(182\) 1.05817 + 2.71843i 0.0784365 + 0.201503i
\(183\) −1.17634 + 2.62470i −0.0869578 + 0.194023i
\(184\) 2.27068 2.10688i 0.167396 0.155321i
\(185\) −2.72404 3.41584i −0.200275 0.251137i
\(186\) 12.2738 0.337092i 0.899960 0.0247168i
\(187\) −2.84199 2.26641i −0.207827 0.165736i
\(188\) 9.86744 4.75191i 0.719657 0.346569i
\(189\) −9.39894 10.0329i −0.683672 0.729789i
\(190\) 2.43910 + 1.17461i 0.176951 + 0.0852151i
\(191\) −1.51226 3.14025i −0.109424 0.227220i 0.839065 0.544031i \(-0.183102\pi\)
−0.948489 + 0.316810i \(0.897388\pi\)
\(192\) −2.71329 10.5444i −0.195815 0.760976i
\(193\) −3.41876 + 1.64639i −0.246088 + 0.118510i −0.552862 0.833273i \(-0.686464\pi\)
0.306775 + 0.951782i \(0.400750\pi\)
\(194\) 1.40614 3.58280i 0.100955 0.257230i
\(195\) −0.442472 0.857734i −0.0316861 0.0614236i
\(196\) −6.91288 + 3.28170i −0.493777 + 0.234407i
\(197\) 1.06318i 0.0757481i 0.999283 + 0.0378740i \(0.0120586\pi\)
−0.999283 + 0.0378740i \(0.987941\pi\)
\(198\) 1.97238 3.89560i 0.140171 0.276848i
\(199\) 0.662748 0.972073i 0.0469810 0.0689085i −0.802030 0.597284i \(-0.796246\pi\)
0.849011 + 0.528376i \(0.177199\pi\)
\(200\) −9.55336 + 10.2961i −0.675524 + 0.728042i
\(201\) 10.0972 13.4003i 0.712200 0.945182i
\(202\) −2.48122 3.63928i −0.174578 0.256059i
\(203\) −7.12619 23.3333i −0.500161 1.63768i
\(204\) −4.46958 0.548656i −0.312933 0.0384136i
\(205\) 2.49280 3.12588i 0.174105 0.218321i
\(206\) −0.449228 5.99453i −0.0312992 0.417659i
\(207\) 2.64147 1.72500i 0.183595 0.119896i
\(208\) −0.211108 + 0.684395i −0.0146377 + 0.0474543i
\(209\) −3.29855 + 8.40458i −0.228166 + 0.581357i
\(210\) −1.79234 + 1.09463i −0.123683 + 0.0755364i
\(211\) 5.43303 + 13.8431i 0.374025 + 0.953000i 0.986683 + 0.162652i \(0.0520048\pi\)
−0.612659 + 0.790348i \(0.709900\pi\)
\(212\) 11.3454 0.850219i 0.779205 0.0583933i
\(213\) 10.6164 8.95398i 0.727424 0.613516i
\(214\) 0.547835 0.948878i 0.0374492 0.0648640i
\(215\) 2.20024 3.81092i 0.150055 0.259903i
\(216\) −1.25932 15.2536i −0.0856861 1.03788i
\(217\) 8.59509 17.7213i 0.583473 1.20300i
\(218\) 2.95510 + 9.58019i 0.200144 + 0.648852i
\(219\) −6.25456 6.38019i −0.422644 0.431133i
\(220\) 0.628692 + 0.501365i 0.0423864 + 0.0338021i
\(221\) 2.15288 + 1.71686i 0.144818 + 0.115489i
\(222\) −4.01901 + 14.4240i −0.269738 + 0.968073i
\(223\) 6.30073 + 20.4265i 0.421928 + 1.36786i 0.878318 + 0.478078i \(0.158666\pi\)
−0.456389 + 0.889780i \(0.650858\pi\)
\(224\) −13.6674 3.15961i −0.913191 0.211110i
\(225\) −11.3594 + 8.69497i −0.757290 + 0.579665i
\(226\) 5.76558 9.98628i 0.383521 0.664277i
\(227\) −0.400816 + 0.694234i −0.0266031 + 0.0460779i −0.879020 0.476784i \(-0.841802\pi\)
0.852417 + 0.522862i \(0.175136\pi\)
\(228\) 1.97003 + 11.0100i 0.130468 + 0.729155i
\(229\) 10.3861 0.778330i 0.686332 0.0514335i 0.273000 0.962014i \(-0.411984\pi\)
0.413332 + 0.910580i \(0.364365\pi\)
\(230\) −0.176075 0.448631i −0.0116100 0.0295819i
\(231\) −4.08715 5.68805i −0.268915 0.374246i
\(232\) 9.92330 25.2842i 0.651497 1.65999i
\(233\) 4.13724 13.4126i 0.271040 0.878689i −0.713065 0.701098i \(-0.752693\pi\)
0.984104 0.177591i \(-0.0568303\pi\)
\(234\) −1.49413 + 2.95101i −0.0976742 + 0.192913i
\(235\) −0.360314 4.80805i −0.0235043 0.313643i
\(236\) −2.64640 + 3.31848i −0.172266 + 0.216014i
\(237\) 14.2286 18.8832i 0.924246 1.22659i
\(238\) 3.38919 4.94137i 0.219688 0.320301i
\(239\) 16.9594 + 24.8749i 1.09702 + 1.60903i 0.736734 + 0.676182i \(0.236367\pi\)
0.360281 + 0.932844i \(0.382681\pi\)
\(240\) −0.511794 0.0628244i −0.0330362 0.00405530i
\(241\) −4.57441 + 4.93004i −0.294663 + 0.317572i −0.862980 0.505239i \(-0.831404\pi\)
0.568316 + 0.822810i \(0.307595\pi\)
\(242\) −4.64758 + 6.81675i −0.298758 + 0.438197i
\(243\) 1.35623 15.5293i 0.0870022 0.996208i
\(244\) 1.81534i 0.116215i
\(245\) 0.233018 + 3.36078i 0.0148869 + 0.214712i
\(246\) −13.6870 0.648460i −0.872652 0.0413443i
\(247\) 2.49873 6.36667i 0.158991 0.405101i
\(248\) 19.7560 9.51397i 1.25450 0.604137i
\(249\) −12.7352 + 12.4845i −0.807063 + 0.791172i
\(250\) 1.94240 + 4.03344i 0.122848 + 0.255097i
\(251\) 1.86520 + 0.898231i 0.117730 + 0.0566958i 0.491822 0.870696i \(-0.336331\pi\)
−0.374092 + 0.927392i \(0.622045\pi\)
\(252\) −8.00313 3.35232i −0.504150 0.211176i
\(253\) 1.44815 0.697392i 0.0910444 0.0438447i
\(254\) 3.23448 + 2.57941i 0.202949 + 0.161846i
\(255\) −0.943724 + 1.74343i −0.0590983 + 0.109178i
\(256\) −10.5805 13.2675i −0.661281 0.829220i
\(257\) −2.01193 + 1.86680i −0.125501 + 0.116448i −0.740426 0.672137i \(-0.765376\pi\)
0.614926 + 0.788585i \(0.289186\pi\)
\(258\) −15.0024 + 1.53948i −0.934011 + 0.0958437i
\(259\) 17.5613 + 16.3859i 1.09121 + 1.01817i
\(260\) −0.476249 0.379796i −0.0295357 0.0235540i
\(261\) 14.3056 23.6779i 0.885493 1.46562i
\(262\) 7.09450 + 7.64605i 0.438300 + 0.472375i
\(263\) 6.45255 + 3.72538i 0.397881 + 0.229717i 0.685569 0.728007i \(-0.259553\pi\)
−0.287688 + 0.957724i \(0.592887\pi\)
\(264\) 0.369031 7.78911i 0.0227123 0.479386i
\(265\) 1.47634 4.78619i 0.0906911 0.294013i
\(266\) −14.2093 4.42643i −0.871231 0.271402i
\(267\) −10.2307 2.85063i −0.626109 0.174455i
\(268\) 2.35645 10.3243i 0.143943 0.630655i
\(269\) 1.96281 + 0.295846i 0.119675 + 0.0180380i 0.208606 0.978000i \(-0.433107\pi\)
−0.0889319 + 0.996038i \(0.528345\pi\)
\(270\) −2.28081 0.684667i −0.138806 0.0416675i
\(271\) −8.98323 + 9.68162i −0.545692 + 0.588116i −0.944333 0.328991i \(-0.893291\pi\)
0.398641 + 0.917107i \(0.369482\pi\)
\(272\) 1.40580 0.433632i 0.0852391 0.0262928i
\(273\) 3.09611 + 4.30883i 0.187385 + 0.260782i
\(274\) 17.7071 + 5.46191i 1.06972 + 0.329966i
\(275\) −6.31176 + 3.64410i −0.380613 + 0.219747i
\(276\) 1.07608 1.67536i 0.0647722 0.100845i
\(277\) −12.0991 3.73207i −0.726963 0.224239i −0.0908833 0.995862i \(-0.528969\pi\)
−0.636080 + 0.771623i \(0.719445\pi\)
\(278\) 7.25015 4.94307i 0.434835 0.296465i
\(279\) 21.4673 6.15709i 1.28522 0.368615i
\(280\) −2.12141 + 3.09297i −0.126778 + 0.184840i
\(281\) −11.4674 4.50061i −0.684085 0.268484i −0.00225867 0.999997i \(-0.500719\pi\)
−0.681827 + 0.731514i \(0.738814\pi\)
\(282\) −12.6315 + 10.6535i −0.752193 + 0.634407i
\(283\) 18.2597 14.5616i 1.08542 0.865597i 0.0939080 0.995581i \(-0.470064\pi\)
0.991516 + 0.129984i \(0.0414926\pi\)
\(284\) 3.80322 7.89746i 0.225679 0.468628i
\(285\) 4.82885 + 0.963492i 0.286036 + 0.0570724i
\(286\) −0.949310 + 1.39238i −0.0561339 + 0.0823333i
\(287\) −11.0429 + 19.0044i −0.651844 + 1.12179i
\(288\) −7.67757 13.9305i −0.452405 0.820862i
\(289\) −0.847726 + 11.3121i −0.0498662 + 0.665419i
\(290\) −3.09792 2.87445i −0.181916 0.168794i
\(291\) 0.852938 6.94840i 0.0500001 0.407322i
\(292\) −5.24924 2.06017i −0.307188 0.120563i
\(293\) 2.74451 4.75362i 0.160336 0.277710i −0.774653 0.632386i \(-0.782076\pi\)
0.934989 + 0.354676i \(0.115409\pi\)
\(294\) 8.86709 7.39437i 0.517139 0.431249i
\(295\) 0.934300 + 1.61825i 0.0543970 + 0.0942184i
\(296\) 3.98543 + 26.4416i 0.231648 + 1.53689i
\(297\) 1.70858 7.75605i 0.0991419 0.450051i
\(298\) −0.242085 + 0.0746732i −0.0140236 + 0.00432570i
\(299\) −1.09701 + 0.528291i −0.0634416 + 0.0305519i
\(300\) −4.29798 + 7.94007i −0.248144 + 0.458420i
\(301\) −8.90095 + 22.4946i −0.513042 + 1.29657i
\(302\) 9.21276 + 0.690401i 0.530135 + 0.0397281i
\(303\) −6.02020 5.28589i −0.345851 0.303666i
\(304\) −2.05840 3.01912i −0.118058 0.173159i
\(305\) 0.743944 + 0.291976i 0.0425981 + 0.0167185i
\(306\) 6.73718 0.878846i 0.385139 0.0502403i
\(307\) −8.57245 + 6.83630i −0.489255 + 0.390168i −0.836812 0.547491i \(-0.815583\pi\)
0.347556 + 0.937659i \(0.387012\pi\)
\(308\) −3.82226 2.22101i −0.217793 0.126554i
\(309\) −3.50843 10.3556i −0.199587 0.589112i
\(310\) −0.254954 3.40212i −0.0144804 0.193228i
\(311\) 2.02665 + 8.87932i 0.114921 + 0.503500i 0.999324 + 0.0367758i \(0.0117087\pi\)
−0.884403 + 0.466724i \(0.845434\pi\)
\(312\) −0.279550 + 5.90043i −0.0158264 + 0.334046i
\(313\) 12.2689i 0.693478i 0.937962 + 0.346739i \(0.112711\pi\)
−0.937962 + 0.346739i \(0.887289\pi\)
\(314\) 2.75854 + 12.0860i 0.155673 + 0.682050i
\(315\) −2.66102 + 2.74057i −0.149931 + 0.154414i
\(316\) 3.32062 14.5486i 0.186800 0.818423i
\(317\) −7.56051 1.72564i −0.424641 0.0969214i 0.00485963 0.999988i \(-0.498453\pi\)
−0.429500 + 0.903067i \(0.641310\pi\)
\(318\) −16.2580 + 5.50812i −0.911706 + 0.308880i
\(319\) 8.78760 11.0193i 0.492011 0.616962i
\(320\) −2.89088 + 0.891719i −0.161605 + 0.0498486i
\(321\) 0.534908 1.91975i 0.0298557 0.107150i
\(322\) 1.31835 + 2.29822i 0.0734686 + 0.128075i
\(323\) −13.6965 + 3.12614i −0.762095 + 0.173943i
\(324\) −3.22748 9.29421i −0.179305 0.516345i
\(325\) 4.78131 2.76049i 0.265219 0.153124i
\(326\) 1.50517 4.87963i 0.0833635 0.270258i
\(327\) 9.54773 + 15.5359i 0.527991 + 0.859137i
\(328\) −22.7788 + 8.94003i −1.25775 + 0.493630i
\(329\) 5.82616 + 25.8582i 0.321206 + 1.42561i
\(330\) −1.10715 0.496204i −0.0609464 0.0273151i
\(331\) −3.63037 15.9057i −0.199543 0.874257i −0.971209 0.238228i \(-0.923433\pi\)
0.771666 0.636028i \(-0.219424\pi\)
\(332\) −4.11223 + 10.4778i −0.225688 + 0.575044i
\(333\) −0.541524 + 27.2293i −0.0296754 + 1.49215i
\(334\) 16.6731 6.54372i 0.912313 0.358056i
\(335\) −3.85197 2.62623i −0.210456 0.143486i
\(336\) 2.83384 0.0699232i 0.154599 0.00381462i
\(337\) −16.5081 + 11.2550i −0.899251 + 0.613099i −0.922232 0.386637i \(-0.873637\pi\)
0.0229810 + 0.999736i \(0.492684\pi\)
\(338\) −6.25450 + 9.17366i −0.340200 + 0.498981i
\(339\) 5.62953 20.2040i 0.305754 1.09733i
\(340\) −0.0935046 + 1.24773i −0.00507100 + 0.0676678i
\(341\) 11.2511 1.69582i 0.609279 0.0918340i
\(342\) −7.01826 15.3469i −0.379504 0.829866i
\(343\) −3.96998 18.0898i −0.214359 0.976755i
\(344\) −23.3245 + 13.4664i −1.25757 + 0.726060i
\(345\) −0.513502 0.710447i −0.0276460 0.0382492i
\(346\) −7.29865 15.1558i −0.392378 0.814781i
\(347\) 8.19603 + 1.87069i 0.439986 + 0.100424i 0.436775 0.899571i \(-0.356121\pi\)
0.00321134 + 0.999995i \(0.498978\pi\)
\(348\) 2.12731 17.3300i 0.114036 0.928985i
\(349\) 16.9765 1.27222i 0.908734 0.0681002i 0.387845 0.921725i \(-0.373220\pi\)
0.520889 + 0.853625i \(0.325601\pi\)
\(350\) −6.73991 9.94509i −0.360263 0.531587i
\(351\) −1.29429 + 5.87539i −0.0690841 + 0.313605i
\(352\) −2.96066 7.54365i −0.157804 0.402078i
\(353\) 25.7845 17.5796i 1.37237 0.935667i 0.372401 0.928072i \(-0.378535\pi\)
0.999971 0.00759536i \(-0.00241770\pi\)
\(354\) 2.61915 5.84394i 0.139206 0.310602i
\(355\) −2.62475 2.82881i −0.139307 0.150137i
\(356\) −6.62821 + 0.999042i −0.351294 + 0.0529491i
\(357\) 3.73024 10.2403i 0.197425 0.541977i
\(358\) 7.45345 + 1.12343i 0.393927 + 0.0593749i
\(359\) 9.91661 + 14.5450i 0.523378 + 0.767655i 0.993363 0.115019i \(-0.0366930\pi\)
−0.469985 + 0.882674i \(0.655741\pi\)
\(360\) −4.21703 + 0.550099i −0.222257 + 0.0289928i
\(361\) 7.94711 + 13.7648i 0.418269 + 0.724463i
\(362\) −22.4596 −1.18045
\(363\) −5.09683 + 14.1142i −0.267514 + 0.740803i
\(364\) 2.89545 + 1.68247i 0.151763 + 0.0881854i
\(365\) −1.68855 + 1.81983i −0.0883830 + 0.0952542i
\(366\) −0.682557 2.65255i −0.0356778 0.138651i
\(367\) −2.39958 + 0.941767i −0.125257 + 0.0491599i −0.427142 0.904185i \(-0.640480\pi\)
0.301885 + 0.953344i \(0.402384\pi\)
\(368\) −0.0969534 + 0.643244i −0.00505405 + 0.0335314i
\(369\) −24.4034 + 5.06161i −1.27039 + 0.263497i
\(370\) 4.05617 + 0.925795i 0.210870 + 0.0481298i
\(371\) −4.17984 + 27.2163i −0.217006 + 1.41300i
\(372\) 10.7748 9.08755i 0.558646 0.471168i
\(373\) 6.64062 + 11.5019i 0.343838 + 0.595545i 0.985142 0.171742i \(-0.0549395\pi\)
−0.641304 + 0.767287i \(0.721606\pi\)
\(374\) 3.46154 0.178992
\(375\) 5.24974 + 6.22442i 0.271095 + 0.321428i
\(376\) −12.8038 + 26.5875i −0.660308 + 1.37114i
\(377\) −6.65681 + 8.34738i −0.342843 + 0.429912i
\(378\) 12.9545 + 1.88924i 0.666308 + 0.0971718i
\(379\) 4.10628 + 5.14911i 0.210925 + 0.264492i 0.876028 0.482260i \(-0.160184\pi\)
−0.665103 + 0.746752i \(0.731612\pi\)
\(380\) 3.02988 0.691551i 0.155430 0.0354758i
\(381\) 6.86664 + 3.07751i 0.351788 + 0.157665i
\(382\) 2.99036 + 1.44008i 0.153000 + 0.0736810i
\(383\) 36.8762 + 5.55820i 1.88429 + 0.284011i 0.987400 0.158247i \(-0.0505841\pi\)
0.896888 + 0.442257i \(0.145822\pi\)
\(384\) −6.38808 4.81346i −0.325991 0.245636i
\(385\) −1.52496 + 1.20917i −0.0777189 + 0.0616251i
\(386\) 1.56780 3.25558i 0.0797992 0.165705i
\(387\) −25.7288 + 9.51187i −1.30787 + 0.483516i
\(388\) −1.30234 4.22210i −0.0661165 0.214345i
\(389\) 3.75317 + 0.281261i 0.190293 + 0.0142605i 0.169536 0.985524i \(-0.445773\pi\)
0.0207575 + 0.999785i \(0.493392\pi\)
\(390\) 0.838689 + 0.375886i 0.0424687 + 0.0190337i
\(391\) 2.16594 + 1.25051i 0.109536 + 0.0632409i
\(392\) 9.04961 18.5267i 0.457074 0.935741i
\(393\) 15.9625 + 10.2527i 0.805204 + 0.517180i
\(394\) −0.631239 0.791549i −0.0318014 0.0398777i
\(395\) −5.42807 3.70079i −0.273116 0.186207i
\(396\) −1.01802 4.90813i −0.0511573 0.246643i
\(397\) −33.6212 2.51956i −1.68740 0.126453i −0.803862 0.594815i \(-0.797225\pi\)
−0.883537 + 0.468362i \(0.844844\pi\)
\(398\) 0.0837238 + 1.11722i 0.00419669 + 0.0560010i
\(399\) −27.0359 1.35646i −1.35349 0.0679079i
\(400\) 0.220427 2.94140i 0.0110214 0.147070i
\(401\) −3.05935 + 20.2975i −0.152777 + 1.01361i 0.772691 + 0.634782i \(0.218910\pi\)
−0.925468 + 0.378826i \(0.876328\pi\)
\(402\) 0.438652 + 15.9717i 0.0218780 + 0.796595i
\(403\) −8.52294 + 1.28463i −0.424558 + 0.0639918i
\(404\) −4.83178 1.49041i −0.240390 0.0741505i
\(405\) −4.32795 0.172213i −0.215058 0.00855735i
\(406\) 19.1593 + 13.1410i 0.950858 + 0.652175i
\(407\) −2.06804 + 13.7205i −0.102509 + 0.680102i
\(408\) 10.3374 6.35296i 0.511779 0.314518i
\(409\) −16.9482 + 3.86831i −0.838033 + 0.191276i −0.619937 0.784652i \(-0.712842\pi\)
−0.218096 + 0.975927i \(0.569985\pi\)
\(410\) 3.80731i 0.188030i
\(411\) 33.6665 + 1.59504i 1.66064 + 0.0786777i
\(412\) −4.69379 5.05870i −0.231246 0.249224i
\(413\) −6.38246 8.04929i −0.314060 0.396080i
\(414\) −0.942425 + 2.85261i −0.0463177 + 0.140198i
\(415\) 3.63249 + 3.37046i 0.178312 + 0.165449i
\(416\) 2.24277 + 5.71449i 0.109961 + 0.280176i
\(417\) 10.5305 11.9934i 0.515680 0.587318i
\(418\) −2.53423 8.21578i −0.123953 0.401847i
\(419\) −15.9383 14.7886i −0.778637 0.722470i 0.187001 0.982360i \(-0.440123\pi\)
−0.965638 + 0.259890i \(0.916314\pi\)
\(420\) −0.825188 + 2.26532i −0.0402650 + 0.110536i
\(421\) 8.79427 8.15989i 0.428607 0.397689i −0.436155 0.899872i \(-0.643660\pi\)
0.864762 + 0.502183i \(0.167470\pi\)
\(422\) −12.2640 7.08065i −0.597004 0.344681i
\(423\) −17.4213 + 24.4914i −0.847050 + 1.19081i
\(424\) −22.4720 + 20.8510i −1.09134 + 1.01261i
\(425\) −10.2174 4.92046i −0.495619 0.238677i
\(426\) −2.58781 + 12.9696i −0.125380 + 0.628381i
\(427\) −4.28064 0.989594i −0.207155 0.0478898i
\(428\) −0.187466 1.24376i −0.00906151 0.0601192i
\(429\) −1.04107 + 2.88295i −0.0502635 + 0.139190i
\(430\) 0.624553 + 4.14364i 0.0301186 + 0.199824i
\(431\) 1.39394 0.104461i 0.0671437 0.00503173i −0.0411159 0.999154i \(-0.513091\pi\)
0.108260 + 0.994123i \(0.465472\pi\)
\(432\) 2.20403 + 2.33959i 0.106041 + 0.112564i
\(433\) 1.65620 + 3.43913i 0.0795917 + 0.165274i 0.936967 0.349418i \(-0.113621\pi\)
−0.857375 + 0.514692i \(0.827906\pi\)
\(434\) 4.12252 + 18.2969i 0.197887 + 0.878282i
\(435\) −6.75983 3.65911i −0.324109 0.175441i
\(436\) 9.50931 + 6.48334i 0.455413 + 0.310496i
\(437\) 1.38230 6.05626i 0.0661244 0.289710i
\(438\) 8.44472 + 1.03662i 0.403504 + 0.0495315i
\(439\) −10.6246 + 8.47286i −0.507086 + 0.404387i −0.843337 0.537385i \(-0.819412\pi\)
0.336251 + 0.941772i \(0.390841\pi\)
\(440\) −2.16669 −0.103293
\(441\) 12.2676 17.0442i 0.584172 0.811630i
\(442\) −2.62220 −0.124725
\(443\) 31.2052 24.8853i 1.48260 1.18234i 0.543163 0.839627i \(-0.317226\pi\)
0.939441 0.342711i \(-0.111345\pi\)
\(444\) 6.71682 + 15.8225i 0.318766 + 0.750902i
\(445\) −0.656653 + 2.87698i −0.0311283 + 0.136382i
\(446\) −16.8188 11.4669i −0.796393 0.542972i
\(447\) −0.392581 + 0.241265i −0.0185685 + 0.0114114i
\(448\) 15.0045 7.17434i 0.708898 0.338956i
\(449\) −11.9972 24.9124i −0.566183 1.17569i −0.965867 0.259038i \(-0.916594\pi\)
0.399684 0.916653i \(-0.369120\pi\)
\(450\) 3.29473 13.2179i 0.155315 0.623099i
\(451\) −12.6621 + 0.948897i −0.596237 + 0.0446818i
\(452\) −1.97295 13.0897i −0.0927997 0.615686i
\(453\) 16.5411 2.95971i 0.777167 0.139059i
\(454\) −0.113774 0.754843i −0.00533969 0.0354265i
\(455\) 1.15519 0.915976i 0.0541561 0.0429416i
\(456\) −22.6466 19.8843i −1.06052 0.931165i
\(457\) −5.58022 2.68729i −0.261032 0.125706i 0.298791 0.954319i \(-0.403417\pi\)
−0.559823 + 0.828612i \(0.689131\pi\)
\(458\) −7.27047 + 6.74601i −0.339727 + 0.315220i
\(459\) 11.4691 4.60181i 0.535331 0.214794i
\(460\) −0.479140 0.276632i −0.0223400 0.0128980i
\(461\) −16.0476 + 14.8900i −0.747410 + 0.693495i −0.958856 0.283894i \(-0.908373\pi\)
0.211445 + 0.977390i \(0.432183\pi\)
\(462\) 6.42011 + 1.80817i 0.298691 + 0.0841236i
\(463\) −28.8408 26.7603i −1.34034 1.24366i −0.945787 0.324786i \(-0.894708\pi\)
−0.394557 0.918872i \(-0.629102\pi\)
\(464\) 1.68133 + 5.45073i 0.0780537 + 0.253044i
\(465\) −1.99117 5.87722i −0.0923381 0.272550i
\(466\) 4.88323 + 12.4423i 0.226211 + 0.576377i
\(467\) −6.86427 6.36911i −0.317640 0.294727i 0.505197 0.863004i \(-0.331420\pi\)
−0.822837 + 0.568277i \(0.807610\pi\)
\(468\) 0.771172 + 3.71803i 0.0356474 + 0.171866i
\(469\) 23.0604 + 11.1846i 1.06483 + 0.516459i
\(470\) 3.12294 + 3.36573i 0.144051 + 0.155250i
\(471\) 10.3373 + 20.0389i 0.476317 + 0.923342i
\(472\) 11.4366i 0.526413i
\(473\) −13.6250 + 3.10982i −0.626479 + 0.142990i
\(474\) 0.618133 + 22.5067i 0.0283918 + 1.03377i
\(475\) −4.19815 + 27.8529i −0.192624 + 1.27798i
\(476\) −0.494915 6.86082i −0.0226844 0.314465i
\(477\) −26.1416 + 17.0717i −1.19694 + 0.781659i
\(478\) −27.3955 8.45041i −1.25304 0.386513i
\(479\) 9.85424 1.48529i 0.450252 0.0678645i 0.0799976 0.996795i \(-0.474509\pi\)
0.370254 + 0.928931i \(0.379271\pi\)
\(480\) −3.76540 + 2.31406i −0.171866 + 0.105622i
\(481\) 1.56659 10.3936i 0.0714302 0.473909i
\(482\) 0.478598 6.38644i 0.0217995 0.290895i
\(483\) 3.36395 + 3.45071i 0.153065 + 0.157013i
\(484\) 0.707783 + 9.44471i 0.0321720 + 0.429305i
\(485\) −1.93972 0.145362i −0.0880782 0.00660055i
\(486\) 8.21051 + 12.3671i 0.372436 + 0.560981i
\(487\) 17.1962 + 11.7242i 0.779235 + 0.531273i 0.886373 0.462971i \(-0.153217\pi\)
−0.107139 + 0.994244i \(0.534169\pi\)
\(488\) −3.04972 3.82423i −0.138055 0.173115i
\(489\) 0.439554 9.27763i 0.0198773 0.419549i
\(490\) −2.16888 2.36380i −0.0979801 0.106786i
\(491\) −8.41185 4.85658i −0.379621 0.219175i 0.298032 0.954556i \(-0.403670\pi\)
−0.677654 + 0.735381i \(0.737003\pi\)
\(492\) −12.7486 + 9.21449i −0.574750 + 0.415421i
\(493\) 21.8694 + 1.63889i 0.984949 + 0.0738117i
\(494\) 1.91974 + 6.22365i 0.0863732 + 0.280015i
\(495\) −2.17513 0.372222i −0.0977649 0.0167302i
\(496\) −1.99800 + 4.14888i −0.0897127 + 0.186290i
\(497\) 16.5493 + 13.2732i 0.742336 + 0.595387i
\(498\) 2.06915 16.8562i 0.0927208 0.755343i
\(499\) 11.8870 + 1.79167i 0.532134 + 0.0802062i 0.409612 0.912260i \(-0.365664\pi\)
0.122521 + 0.992466i \(0.460902\pi\)
\(500\) 4.63030 + 2.22983i 0.207073 + 0.0997212i
\(501\) 26.4034 19.0840i 1.17962 0.852612i
\(502\) −1.92197 + 0.438677i −0.0857818 + 0.0195791i
\(503\) 20.4489 + 25.6421i 0.911771 + 1.14332i 0.989236 + 0.146330i \(0.0467460\pi\)
−0.0774648 + 0.996995i \(0.524683\pi\)
\(504\) 22.4913 6.38297i 1.00184 0.284320i
\(505\) −1.38792 + 1.74039i −0.0617615 + 0.0774465i
\(506\) −0.664105 + 1.37903i −0.0295231 + 0.0613053i
\(507\) −6.85908 + 18.9942i −0.304622 + 0.843562i
\(508\) 4.74924 0.210713
\(509\) −13.3242 23.0782i −0.590585 1.02292i −0.994154 0.107974i \(-0.965564\pi\)
0.403569 0.914949i \(-0.367770\pi\)
\(510\) −0.332512 1.85833i −0.0147239 0.0822880i
\(511\) 7.71947 11.2548i 0.341489 0.497884i
\(512\) 6.75028 + 1.54071i 0.298323 + 0.0680903i
\(513\) −19.3188 23.8522i −0.852946 1.05310i
\(514\) 0.389535 2.58440i 0.0171817 0.113993i
\(515\) −2.82804 + 1.10992i −0.124618 + 0.0489091i
\(516\) −12.3632 + 12.1197i −0.544259 + 0.533542i
\(517\) −10.4152 + 11.2250i −0.458062 + 0.493673i
\(518\) −22.8035 1.77283i −1.00193 0.0778938i
\(519\) −19.7261 23.3885i −0.865879 1.02664i
\(520\) 1.64132 0.0719767
\(521\) 3.95396 + 6.84846i 0.173226 + 0.300036i 0.939546 0.342423i \(-0.111248\pi\)
−0.766320 + 0.642459i \(0.777914\pi\)
\(522\) 3.40756 + 26.1222i 0.149145 + 1.14334i
\(523\) −5.05945 7.42086i −0.221234 0.324491i 0.699535 0.714598i \(-0.253390\pi\)
−0.920770 + 0.390107i \(0.872438\pi\)
\(524\) 11.8402 + 1.78462i 0.517240 + 0.0779614i
\(525\) −16.3800 14.4631i −0.714882 0.631223i
\(526\) −7.01589 + 1.05747i −0.305907 + 0.0461081i
\(527\) 12.0421 + 12.9783i 0.524563 + 0.565345i
\(528\) 0.959291 + 1.32721i 0.0417478 + 0.0577595i
\(529\) 18.0898 12.3334i 0.786512 0.536235i
\(530\) 1.74255 + 4.43994i 0.0756914 + 0.192858i
\(531\) 1.96473 11.4812i 0.0852620 0.498240i
\(532\) −15.9215 + 6.19754i −0.690283 + 0.268697i
\(533\) 9.59188 0.718812i 0.415470 0.0311352i
\(534\) 9.30941 3.95195i 0.402858 0.171018i
\(535\) −0.539854 0.123218i −0.0233399 0.00532718i
\(536\) 12.3803 + 25.7081i 0.534750 + 1.11042i
\(537\) 13.6383 1.39950i 0.588538 0.0603929i
\(538\) −1.63699 + 0.945117i −0.0705757 + 0.0407469i
\(539\) 7.32085 7.80228i 0.315331 0.336068i
\(540\) −2.53714 + 1.01799i −0.109181 + 0.0438074i
\(541\) 22.0423 3.32234i 0.947671 0.142838i 0.343019 0.939328i \(-0.388550\pi\)
0.604652 + 0.796490i \(0.293312\pi\)
\(542\) 0.939871 12.5417i 0.0403709 0.538713i
\(543\) −39.5622 + 10.1802i −1.69778 + 0.436873i
\(544\) 7.10327 10.4186i 0.304550 0.446693i
\(545\) 4.18639 2.85423i 0.179325 0.122262i
\(546\) −4.86339 1.36973i −0.208134 0.0586190i
\(547\) 16.8870 + 11.5134i 0.722037 + 0.492276i 0.867719 0.497055i \(-0.165585\pi\)
−0.145682 + 0.989331i \(0.546538\pi\)
\(548\) 19.8019 7.77168i 0.845896 0.331990i
\(549\) −2.40463 4.36305i −0.102627 0.186210i
\(550\) 2.53558 6.46056i 0.108118 0.275479i
\(551\) −12.1210 53.1057i −0.516374 2.26238i
\(552\) 0.547669 + 5.33712i 0.0233103 + 0.227163i
\(553\) 32.4960 + 15.7610i 1.38187 + 0.670226i
\(554\) 11.2238 4.40501i 0.476853 0.187151i
\(555\) 7.56451 0.207754i 0.321096 0.00881868i
\(556\) 2.96918 9.62583i 0.125921 0.408226i
\(557\) 28.3317 16.3573i 1.20045 0.693083i 0.239798 0.970823i \(-0.422919\pi\)
0.960656 + 0.277740i \(0.0895854\pi\)
\(558\) −12.3271 + 17.3298i −0.521847 + 0.733631i
\(559\) 10.3213 2.35576i 0.436543 0.0996382i
\(560\) −0.0566707 0.785605i −0.00239478 0.0331979i
\(561\) 6.09745 1.56900i 0.257434 0.0662432i
\(562\) 11.2098 3.45775i 0.472855 0.145856i
\(563\) −9.62103 + 12.0644i −0.405478 + 0.508453i −0.942083 0.335380i \(-0.891135\pi\)
0.536605 + 0.843834i \(0.319707\pi\)
\(564\) −3.71178 + 18.6028i −0.156294 + 0.783319i
\(565\) −5.68158 1.29678i −0.239026 0.0545561i
\(566\) −4.94892 + 21.6826i −0.208018 + 0.911389i
\(567\) 23.6755 2.54398i 0.994277 0.106837i
\(568\) 5.25558 + 23.0262i 0.220519 + 0.966159i
\(569\) 10.3724i 0.434835i −0.976079 0.217417i \(-0.930237\pi\)
0.976079 0.217417i \(-0.0697633\pi\)
\(570\) −4.16720 + 2.14970i −0.174545 + 0.0900410i
\(571\) 3.17750 + 13.9215i 0.132974 + 0.582598i 0.996879 + 0.0789432i \(0.0251546\pi\)
−0.863905 + 0.503655i \(0.831988\pi\)
\(572\) 0.144571 + 1.92917i 0.00604482 + 0.0806626i
\(573\) 5.92022 + 1.18125i 0.247321 + 0.0493475i
\(574\) −3.06184 20.7055i −0.127799 0.864232i
\(575\) 3.92048 3.12648i 0.163495 0.130383i
\(576\) 17.4143 + 7.23743i 0.725596 + 0.301560i
\(577\) −41.2972 16.2080i −1.71923 0.674747i −0.719423 0.694572i \(-0.755594\pi\)
−0.999803 + 0.0198250i \(0.993689\pi\)
\(578\) −6.08520 8.92535i −0.253111 0.371246i
\(579\) 1.28602 6.44529i 0.0534451 0.267857i
\(580\) −4.83785 0.362547i −0.200881 0.0150539i
\(581\) −22.4653 15.4085i −0.932019 0.639254i
\(582\) 3.49045 + 5.67959i 0.144684 + 0.235427i
\(583\) −14.3318 + 6.90183i −0.593563 + 0.285845i
\(584\) 14.5192 4.47857i 0.600807 0.185324i
\(585\) 1.64771 + 0.281967i 0.0681246 + 0.0116579i
\(586\) 0.779047 + 5.16864i 0.0321821 + 0.213514i
\(587\) −13.1021 22.6936i −0.540783 0.936663i −0.998859 0.0477505i \(-0.984795\pi\)
0.458077 0.888913i \(-0.348539\pi\)
\(588\) 2.66590 12.9833i 0.109940 0.535421i
\(589\) 21.9872 38.0829i 0.905966 1.56918i
\(590\) −1.65641 0.650091i −0.0681931 0.0267638i
\(591\) −1.47070 1.10818i −0.0604965 0.0455845i
\(592\) −4.11655 3.81960i −0.169189 0.156985i
\(593\) 2.01817 26.9305i 0.0828761 1.10590i −0.788417 0.615141i \(-0.789099\pi\)
0.871293 0.490763i \(-0.163282\pi\)
\(594\) 3.33294 + 6.78892i 0.136752 + 0.278553i
\(595\) −2.89123 0.900661i −0.118529 0.0369235i
\(596\) −0.163829 + 0.240294i −0.00671071 + 0.00984281i
\(597\) 0.653875 + 1.93001i 0.0267613 + 0.0789900i
\(598\) 0.503075 1.04465i 0.0205723 0.0427188i
\(599\) 23.8077 18.9860i 0.972758 0.775749i −0.00177366 0.999998i \(-0.500565\pi\)
0.974532 + 0.224250i \(0.0719931\pi\)
\(600\) −4.28488 23.9472i −0.174930 0.977639i
\(601\) 12.0262 + 4.71994i 0.490559 + 0.192530i 0.597710 0.801712i \(-0.296077\pi\)
−0.107151 + 0.994243i \(0.534173\pi\)
\(602\) −6.72886 22.0323i −0.274248 0.897971i
\(603\) 8.01211 + 27.9350i 0.326278 + 1.13760i
\(604\) 8.76283 5.97440i 0.356555 0.243095i
\(605\) 3.98437 + 1.22901i 0.161988 + 0.0499665i
\(606\) 7.62051 + 0.361043i 0.309562 + 0.0146664i
\(607\) −14.0839 + 8.13134i −0.571648 + 0.330041i −0.757807 0.652479i \(-0.773729\pi\)
0.186159 + 0.982520i \(0.440396\pi\)
\(608\) −29.9283 9.23167i −1.21375 0.374394i
\(609\) 39.7051 + 14.4633i 1.60893 + 0.586084i
\(610\) −0.727232 + 0.224321i −0.0294448 + 0.00908251i
\(611\) 7.88979 8.50318i 0.319187 0.344002i
\(612\) 5.41775 5.61093i 0.218999 0.226809i
\(613\) −5.68883 0.857454i −0.229770 0.0346322i 0.0331480 0.999450i \(-0.489447\pi\)
−0.262918 + 0.964818i \(0.584685\pi\)
\(614\) 2.32339 10.1794i 0.0937644 0.410809i
\(615\) 1.72573 + 6.70652i 0.0695880 + 0.270433i
\(616\) 11.7833 1.74246i 0.474761 0.0702056i
\(617\) −13.5987 + 44.0859i −0.547464 + 1.77483i 0.0806845 + 0.996740i \(0.474289\pi\)
−0.628148 + 0.778094i \(0.716187\pi\)
\(618\) 8.76053 + 5.62687i 0.352400 + 0.226346i
\(619\) −36.9208 21.3163i −1.48397 0.856773i −0.484140 0.874991i \(-0.660867\pi\)
−0.999834 + 0.0182179i \(0.994201\pi\)
\(620\) −2.66390 2.87101i −0.106985 0.115302i
\(621\) −0.367076 + 5.45199i −0.0147302 + 0.218781i
\(622\) −6.78078 5.40750i −0.271885 0.216821i
\(623\) 1.25744 16.1742i 0.0503784 0.648004i
\(624\) −0.726686 1.00539i −0.0290907 0.0402480i
\(625\) −15.8188 + 14.6777i −0.632753 + 0.587109i
\(626\) −7.28441 9.13436i −0.291143 0.365082i
\(627\) −8.18795 13.3233i −0.326995 0.532081i
\(628\) 11.1264 + 8.87301i 0.443992 + 0.354072i
\(629\) −19.4523 + 9.36774i −0.775615 + 0.373516i
\(630\) 0.354005 3.62032i 0.0141039 0.144237i
\(631\) −39.2556 18.9045i −1.56274 0.752576i −0.565355 0.824848i \(-0.691261\pi\)
−0.997385 + 0.0722718i \(0.976975\pi\)
\(632\) 17.4460 + 36.2269i 0.693963 + 1.44103i
\(633\) −24.8123 6.91357i −0.986202 0.274790i
\(634\) 6.65347 3.20414i 0.264243 0.127253i
\(635\) 0.763859 1.94628i 0.0303128 0.0772358i
\(636\) −10.6495 + 16.5804i −0.422282 + 0.657455i
\(637\) −5.54571 + 5.91041i −0.219729 + 0.234179i
\(638\) 13.4215i 0.531362i
\(639\) 1.32032 + 24.0188i 0.0522309 + 0.950168i
\(640\) −1.25196 + 1.83629i −0.0494880 + 0.0725856i
\(641\) −0.830986 + 0.895589i −0.0328220 + 0.0353737i −0.749249 0.662288i \(-0.769586\pi\)
0.716427 + 0.697662i \(0.245776\pi\)
\(642\) 0.741566 + 1.74687i 0.0292673 + 0.0689435i
\(643\) 12.5894 + 18.4652i 0.496477 + 0.728197i 0.989927 0.141576i \(-0.0452171\pi\)
−0.493451 + 0.869774i \(0.664265\pi\)
\(644\) 2.82820 + 1.11910i 0.111447 + 0.0440986i
\(645\) 2.97831 + 7.01586i 0.117271 + 0.276249i
\(646\) 8.34117 10.4595i 0.328179 0.411523i
\(647\) 0.944455 + 12.6029i 0.0371304 + 0.495470i 0.984507 + 0.175348i \(0.0561050\pi\)
−0.947376 + 0.320122i \(0.896276\pi\)
\(648\) 22.4131 + 14.1573i 0.880469 + 0.556150i
\(649\) 1.74921 5.67081i 0.0686626 0.222599i
\(650\) −1.92076 + 4.89403i −0.0753386 + 0.191960i
\(651\) 15.5551 + 30.3612i 0.609654 + 1.18995i
\(652\) −2.14168 5.45692i −0.0838747 0.213709i
\(653\) −24.5723 + 1.84144i −0.961590 + 0.0720612i −0.546265 0.837612i \(-0.683951\pi\)
−0.415325 + 0.909673i \(0.636332\pi\)
\(654\) −16.3326 5.89792i −0.638653 0.230627i
\(655\) 2.63570 4.56517i 0.102985 0.178376i
\(656\) 2.56947 4.45045i 0.100321 0.173761i
\(657\) 15.3451 2.00172i 0.598669 0.0780947i
\(658\) −19.6904 15.7926i −0.767613 0.615660i
\(659\) 2.42964 + 7.87671i 0.0946454 + 0.306833i 0.990500 0.137515i \(-0.0439115\pi\)
−0.895854 + 0.444348i \(0.853435\pi\)
\(660\) −1.34885 + 0.347087i −0.0525039 + 0.0135103i
\(661\) −19.4794 15.5343i −0.757663 0.604216i 0.166577 0.986028i \(-0.446729\pi\)
−0.924240 + 0.381813i \(0.875300\pi\)
\(662\) 12.1466 + 9.68656i 0.472090 + 0.376479i
\(663\) −4.61896 + 1.18855i −0.179386 + 0.0461596i
\(664\) −8.93950 28.9811i −0.346920 1.12469i
\(665\) −0.0209711 + 7.52156i −0.000813224 + 0.291673i
\(666\) −15.7637 20.5941i −0.610829 0.798005i
\(667\) −4.84861 + 8.39804i −0.187739 + 0.325173i
\(668\) 10.2809 17.8070i 0.397778 0.688973i
\(669\) −34.8236 12.5753i −1.34636 0.486189i
\(670\) 4.42712 0.331767i 0.171035 0.0128173i
\(671\) −0.927284 2.36268i −0.0357974 0.0912103i
\(672\) 18.6167 15.6129i 0.718153 0.602279i
\(673\) 3.93161 10.0176i 0.151553 0.386150i −0.834854 0.550471i \(-0.814448\pi\)
0.986407 + 0.164321i \(0.0525434\pi\)
\(674\) 5.60805 18.1808i 0.216014 0.700300i
\(675\) −0.187623 24.7765i −0.00722161 0.953650i
\(676\) 0.952502 + 12.7103i 0.0366347 + 0.488856i
\(677\) 28.3754 35.5817i 1.09056 1.36751i 0.166153 0.986100i \(-0.446866\pi\)
0.924404 0.381415i \(-0.124563\pi\)
\(678\) 7.80447 + 18.3846i 0.299729 + 0.706056i
\(679\) 10.6658 0.769393i 0.409316 0.0295266i
\(680\) −1.89918 2.78558i −0.0728301 0.106822i
\(681\) −0.542557 1.27807i −0.0207908 0.0489759i
\(682\) −7.36971 + 7.94266i −0.282201 + 0.304140i
\(683\) 11.5292 16.9103i 0.441154 0.647053i −0.539687 0.841866i \(-0.681457\pi\)
0.980841 + 0.194812i \(0.0624098\pi\)
\(684\) −17.2836 8.75091i −0.660857 0.334599i
\(685\) 9.36499i 0.357818i
\(686\) 13.6961 + 11.1110i 0.522921 + 0.424219i
\(687\) −9.74908 + 15.1785i −0.371950 + 0.579094i
\(688\) 2.06639 5.26509i 0.0787805 0.200730i
\(689\) 10.8567 5.22830i 0.413607 0.199182i
\(690\) 0.804124 + 0.224056i 0.0306125 + 0.00852968i
\(691\) −6.84514 14.2141i −0.260401 0.540729i 0.729246 0.684252i \(-0.239871\pi\)
−0.989647 + 0.143523i \(0.954157\pi\)
\(692\) −17.3985 8.37868i −0.661392 0.318510i
\(693\) 12.1285 + 0.275038i 0.460724 + 0.0104478i
\(694\) −7.21275 + 3.47348i −0.273792 + 0.131851i
\(695\) −3.46719 2.76500i −0.131518 0.104882i
\(696\) 24.6324 + 40.0815i 0.933690 + 1.51928i
\(697\) −12.3187 15.4472i −0.466605 0.585104i
\(698\) −11.8839 + 11.0267i −0.449813 + 0.417366i
\(699\) 14.2414 + 19.7035i 0.538659 + 0.745253i
\(700\) −13.1675 4.10186i −0.497683 0.155036i
\(701\) 10.9830 + 8.75868i 0.414823 + 0.330811i 0.808561 0.588412i \(-0.200247\pi\)
−0.393738 + 0.919223i \(0.628818\pi\)
\(702\) −2.52478 5.14277i −0.0952916 0.194101i
\(703\) 36.4751 + 39.3108i 1.37568 + 1.48263i
\(704\) 8.32075 + 4.80398i 0.313600 + 0.181057i
\(705\) 7.02659 + 4.51316i 0.264637 + 0.169975i
\(706\) −8.75941 + 28.3973i −0.329665 + 1.06875i
\(707\) 6.14837 10.5811i 0.231233 0.397941i
\(708\) −1.83206 7.11974i −0.0688529 0.267576i
\(709\) 8.26296 36.2024i 0.310322 1.35961i −0.543659 0.839306i \(-0.682961\pi\)
0.853981 0.520304i \(-0.174181\pi\)
\(710\) 3.63371 + 0.547693i 0.136371 + 0.0205546i
\(711\) 11.2904 + 39.3651i 0.423422 + 1.47631i
\(712\) 12.2847 13.2398i 0.460390 0.496182i
\(713\) −7.48069 + 2.30749i −0.280154 + 0.0864161i
\(714\) 3.30279 + 9.83884i 0.123604 + 0.368209i
\(715\) 0.813843 + 0.251037i 0.0304360 + 0.00938826i
\(716\) 7.49375 4.32652i 0.280054 0.161690i
\(717\) −52.0871 2.46777i −1.94523 0.0921606i
\(718\) −16.0189 4.94116i −0.597818 0.184402i
\(719\) 31.3531 21.3762i 1.16927 0.797197i 0.186580 0.982440i \(-0.440260\pi\)
0.982693 + 0.185243i \(0.0593072\pi\)
\(720\) 0.620365 0.642486i 0.0231196 0.0239440i
\(721\) 14.4873 8.31049i 0.539536 0.309499i
\(722\) −14.0893 5.52965i −0.524350 0.205792i
\(723\) −2.05172 11.4665i −0.0763042 0.426446i
\(724\) −20.1580 + 16.0755i −0.749167 + 0.597441i
\(725\) 19.0782 39.6162i 0.708546 1.47131i
\(726\) −4.58535 13.5344i −0.170178 0.502307i
\(727\) 15.8103 23.1895i 0.586372 0.860050i −0.412327 0.911036i \(-0.635284\pi\)
0.998699 + 0.0509856i \(0.0162362\pi\)
\(728\) −8.92610 + 1.31995i −0.330823 + 0.0489207i
\(729\) 20.0683 + 18.0628i 0.743269 + 0.668993i
\(730\) 0.176665 2.35743i 0.00653868 0.0872526i
\(731\) −15.9409 14.7910i −0.589594 0.547063i
\(732\) −2.51118 1.89219i −0.0928159 0.0699373i
\(733\) 16.9644 + 6.65805i 0.626595 + 0.245921i 0.657325 0.753607i \(-0.271688\pi\)
−0.0307297 + 0.999528i \(0.509783\pi\)
\(734\) 1.22737 2.12586i 0.0453030 0.0784671i
\(735\) −4.89188 3.18071i −0.180440 0.117322i
\(736\) 2.78784 + 4.82867i 0.102761 + 0.177987i
\(737\) 2.20674 + 14.6408i 0.0812865 + 0.539301i
\(738\) 15.1634 18.2575i 0.558173 0.672066i
\(739\) −43.4148 + 13.3917i −1.59704 + 0.492621i −0.960419 0.278558i \(-0.910144\pi\)
−0.636619 + 0.771179i \(0.719667\pi\)
\(740\) 4.30315 2.07229i 0.158187 0.0761789i
\(741\) 6.20256 + 10.0927i 0.227857 + 0.370765i
\(742\) −13.0472 22.7446i −0.478978 0.834982i
\(743\) −4.79145 0.359069i −0.175781 0.0131730i −0.0134513 0.999910i \(-0.504282\pi\)
−0.162330 + 0.986737i \(0.551901\pi\)
\(744\) −7.43150 + 37.2453i −0.272452 + 1.36548i
\(745\) 0.0721244 + 0.105787i 0.00264244 + 0.00387574i
\(746\) −11.7730 4.62058i −0.431042 0.169172i
\(747\) −3.99556 30.6298i −0.146190 1.12068i
\(748\) 3.10682 2.47760i 0.113596 0.0905902i
\(749\) 3.03501 + 0.235954i 0.110897 + 0.00862158i
\(750\) −7.60413 1.51724i −0.277663 0.0554018i
\(751\) 2.86630 + 38.2482i 0.104593 + 1.39570i 0.764634 + 0.644465i \(0.222920\pi\)
−0.660041 + 0.751230i \(0.729461\pi\)
\(752\) −1.37902 6.04189i −0.0502878 0.220325i
\(753\) −3.18668 + 1.64389i −0.116129 + 0.0599066i
\(754\) 10.1671i 0.370264i
\(755\) −1.03896 4.55200i −0.0378118 0.165664i
\(756\) 12.9792 7.57658i 0.472049 0.275557i
\(757\) 4.03640 17.6846i 0.146705 0.642759i −0.847082 0.531462i \(-0.821643\pi\)
0.993787 0.111296i \(-0.0355002\pi\)
\(758\) −6.11436 1.39556i −0.222084 0.0506891i
\(759\) −0.544743 + 2.73015i −0.0197729 + 0.0990983i
\(760\) −5.22102 + 6.54695i −0.189386 + 0.237483i
\(761\) −47.3571 + 14.6077i −1.71670 + 0.529530i −0.987885 0.155186i \(-0.950402\pi\)
−0.728810 + 0.684716i \(0.759926\pi\)
\(762\) −6.93952 + 1.78568i −0.251392 + 0.0646884i
\(763\) −20.4717 + 18.8890i −0.741127 + 0.683830i
\(764\) 3.71467 0.847848i 0.134392 0.0306741i
\(765\) −1.42803 3.12269i −0.0516306 0.112901i
\(766\) −30.7549 + 17.7564i −1.11122 + 0.641564i
\(767\) −1.32507 + 4.29577i −0.0478455 + 0.155111i
\(768\) 29.3815 0.806943i 1.06021 0.0291180i
\(769\) 3.80749 1.49433i 0.137302 0.0538869i −0.295695 0.955282i \(-0.595551\pi\)
0.432997 + 0.901395i \(0.357456\pi\)
\(770\) 0.417429 1.80566i 0.0150431 0.0650714i
\(771\) −0.485261 4.72894i −0.0174762 0.170309i
\(772\) −0.923045